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Finding the Fourth Proportional to 8,434.38, 12,651.30 and 3,817.38

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Solution

The fourth proportional to 8,434.38, 12,651.30 and 3,817.38 is: 5,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.38 : 12,651.30 = 3,817.38 : x
  2. Step 2: Convert to fraction form
    8,434.38/12,651.30 = 3,817.38/x
  3. Step 3: Cross multiply
    8,434.38x = 12,651.30 × 3,817.38
  4. Step 4: Simplify right side
    8,434.38x = 48,294,819.59
  5. Step 5: Solve for x
    x = 48,294,819.59/8,434.38
  6. Step 6: Final answer
    x = 5,725.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.